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lbvjy [14]
2 years ago
12

Find the 26th term in the arithmetic sequence: 20, 26, 32, 38, ...

Mathematics
1 answer:
Dafna11 [192]2 years ago
3 0

Answer:

170

Step-by-step explanation:

20 + (26 - 1)6

= 20 + (25)6

= 20 + 150

= 170

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You randomly choose a letter A, and do not replace it. Then, you choose another letter A. What is the probability that both lett
GarryVolchara [31]
You made the choice to choose the letter A, a second time.
3 0
3 years ago
Naval intelligence reports that 4 enemy vessels in a fleet of 17 are carrying nuclear weapons. If 9 vessels are randomly targete
icang [17]

Answer:

0.7588 = 75.88% probability that more than 1 vessel transporting nuclear weapons was destroyed

Step-by-step explanation:

The vessels are destroyed without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

Fleet of 17 means that N = 17

4 are carrying nucleas weapons, which means that k = 4

9 are destroyed, which means that n = 9

What is the probability that more than 1 vessel transporting nuclear weapons was destroyed?

This is:

P(X > 1) = 1 - P(X \leq 1)

In which

P(X \leq 1) = P(X = 0) + P(X = 1)

So

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = 0) = h(0,17,9,4) = \frac{C_{4,0}*C_{13,9}}{C_{17,9}} = 0.0294

P(X = 1) = h(1,17,9,4) = \frac{C_{4,1}*C_{13,8}}{C_{17,9}} = 0.2118

Then

P(X \leq 1) = P(X = 0) + P(X = 1) = 0.0294 + 0.2118 = 0.2412

P(X > 1) = 1 - P(X \leq 1) = 1 - 0.2412 = 0.7588

0.7588 = 75.88% probability that more than 1 vessel transporting nuclear weapons was destroyed

8 0
3 years ago
What percent of 9775 is 1275
ahrayia [7]
1275 ÷ 9775= 0.1304% or 0.13%

7 0
3 years ago
Nooha purchased a tv for $9000 and sold it at a profit of 8% find selling price ​
miskamm [114]

Answer:

720

Step-by-step explanation:

because 8% of 9000$ is 720$.

another way.

Step 1: Our output value is 9000.

Step 2: We represent the unknown value with $x$.

Step 3: From step 1 above,$9000=100$.

Step 4: Similarly, $x=.8%$.

Step 5: This results in a pair of simple equations:

$9000=100%(1)$.

$x=.8%(2)$.

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

Step 7: Again, the reciprocal of both sides gives

Therefore, 8%of $9000$ is $720

4 0
3 years ago
What is the mean number of hours worked that week?
Veseljchak [2.6K]

Answer:

well how menny hours per day?

Step-by-step explanation:

Mean is the middle

Median is the average

Mode is most often.

4 0
3 years ago
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